Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350bh |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1670400 |
Modular degree for the optimal curve |
Δ |
48883610726562500 = 22 · 59 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-94950,-3736000] |
[a1,a2,a3,a4,a6] |
Generators |
[-55121:502456:1331] |
Generators of the group modulo torsion |
j |
1030301/532 |
j-invariant |
L |
7.8494874458329 |
L(r)(E,1)/r! |
Ω |
0.28764429179916 |
Real period |
R |
6.8222172143473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000113828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126350dx1 6650bd1 |
Quadratic twists by: 5 -19 |